1 SUBROUTINE ZHESWAPR( UPLO, N, A, LDA, I1, I2)
2 *
3 * -- LAPACK auxiliary routine (version 3.3.1) --
4 * -- LAPACK is a software package provided by Univ. of Tennessee, --
5 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
6 * -- April 2011 --
7 *
8 * .. Scalar Arguments ..
9 CHARACTER UPLO
10 INTEGER I1, I2, LDA, N
11 * ..
12 * .. Array Arguments ..
13 COMPLEX*16 A( LDA, N )
14 *
15 * Purpose
16 * =======
17 *
18 * ZHESWAPR applies an elementary permutation on the rows and the columns of
19 * a hermitian matrix.
20 *
21 * Arguments
22 * =========
23 *
24 * UPLO (input) CHARACTER*1
25 * Specifies whether the details of the factorization are stored
26 * as an upper or lower triangular matrix.
27 * = 'U': Upper triangular, form is A = U*D*U**T;
28 * = 'L': Lower triangular, form is A = L*D*L**T.
29 *
30 * N (input) INTEGER
31 * The order of the matrix A. N >= 0.
32 *
33 * A (input/output) COMPLEX*16 array, dimension (LDA,N)
34 * On entry, the NB diagonal matrix D and the multipliers
35 * used to obtain the factor U or L as computed by CSYTRF.
36 *
37 * On exit, if INFO = 0, the (symmetric) inverse of the original
38 * matrix. If UPLO = 'U', the upper triangular part of the
39 * inverse is formed and the part of A below the diagonal is not
40 * referenced; if UPLO = 'L' the lower triangular part of the
41 * inverse is formed and the part of A above the diagonal is
42 * not referenced.
43 *
44 * LDA (input) INTEGER
45 * The leading dimension of the array A. LDA >= max(1,N).
46 *
47 * I1 (input) INTEGER
48 * Index of the first row to swap
49 *
50 * I2 (input) INTEGER
51 * Index of the second row to swap
52 *
53 * =====================================================================
54 *
55 * ..
56 * .. Local Scalars ..
57 LOGICAL UPPER
58 INTEGER I
59 COMPLEX*16 TMP
60 *
61 * .. External Functions ..
62 LOGICAL LSAME
63 EXTERNAL LSAME
64 * ..
65 * .. External Subroutines ..
66 EXTERNAL ZSWAP
67 * ..
68 * .. Executable Statements ..
69 *
70 UPPER = LSAME( UPLO, 'U' )
71 IF (UPPER) THEN
72 *
73 * UPPER
74 * first swap
75 * - swap column I1 and I2 from I1 to I1-1
76 CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 )
77 *
78 * second swap :
79 * - swap A(I1,I1) and A(I2,I2)
80 * - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1
81 * - swap A(I2,I1) and A(I1,I2)
82
83 TMP=A(I1,I1)
84 A(I1,I1)=A(I2,I2)
85 A(I2,I2)=TMP
86 *
87 DO I=1,I2-I1-1
88 TMP=A(I1,I1+I)
89 A(I1,I1+I)=DCONJG(A(I1+I,I2))
90 A(I1+I,I2)=DCONJG(TMP)
91 END DO
92 *
93 A(I1,I2)=DCONJG(A(I1,I2))
94
95 *
96 * third swap
97 * - swap row I1 and I2 from I2+1 to N
98 DO I=I2+1,N
99 TMP=A(I1,I)
100 A(I1,I)=A(I2,I)
101 A(I2,I)=TMP
102 END DO
103 *
104 ELSE
105 *
106 * LOWER
107 * first swap
108 * - swap row I1 and I2 from 1 to I1-1
109 CALL ZSWAP ( I1-1, A(I1,1), LDA, A(I2,1), LDA )
110 *
111 * second swap :
112 * - swap A(I1,I1) and A(I2,I2)
113 * - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1
114 * - swap A(I2,I1) and A(I1,I2)
115
116 TMP=A(I1,I1)
117 A(I1,I1)=A(I2,I2)
118 A(I2,I2)=TMP
119 *
120 DO I=1,I2-I1-1
121 TMP=A(I1+I,I1)
122 A(I1+I,I1)=DCONJG(A(I2,I1+I))
123 A(I2,I1+I)=DCONJG(TMP)
124 END DO
125 *
126 A(I2,I1)=DCONJG(A(I2,I1))
127 *
128 * third swap
129 * - swap col I1 and I2 from I2+1 to N
130 DO I=I2+1,N
131 TMP=A(I,I1)
132 A(I,I1)=A(I,I2)
133 A(I,I2)=TMP
134 END DO
135 *
136 ENDIF
137
138 END SUBROUTINE ZHESWAPR
139
2 *
3 * -- LAPACK auxiliary routine (version 3.3.1) --
4 * -- LAPACK is a software package provided by Univ. of Tennessee, --
5 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
6 * -- April 2011 --
7 *
8 * .. Scalar Arguments ..
9 CHARACTER UPLO
10 INTEGER I1, I2, LDA, N
11 * ..
12 * .. Array Arguments ..
13 COMPLEX*16 A( LDA, N )
14 *
15 * Purpose
16 * =======
17 *
18 * ZHESWAPR applies an elementary permutation on the rows and the columns of
19 * a hermitian matrix.
20 *
21 * Arguments
22 * =========
23 *
24 * UPLO (input) CHARACTER*1
25 * Specifies whether the details of the factorization are stored
26 * as an upper or lower triangular matrix.
27 * = 'U': Upper triangular, form is A = U*D*U**T;
28 * = 'L': Lower triangular, form is A = L*D*L**T.
29 *
30 * N (input) INTEGER
31 * The order of the matrix A. N >= 0.
32 *
33 * A (input/output) COMPLEX*16 array, dimension (LDA,N)
34 * On entry, the NB diagonal matrix D and the multipliers
35 * used to obtain the factor U or L as computed by CSYTRF.
36 *
37 * On exit, if INFO = 0, the (symmetric) inverse of the original
38 * matrix. If UPLO = 'U', the upper triangular part of the
39 * inverse is formed and the part of A below the diagonal is not
40 * referenced; if UPLO = 'L' the lower triangular part of the
41 * inverse is formed and the part of A above the diagonal is
42 * not referenced.
43 *
44 * LDA (input) INTEGER
45 * The leading dimension of the array A. LDA >= max(1,N).
46 *
47 * I1 (input) INTEGER
48 * Index of the first row to swap
49 *
50 * I2 (input) INTEGER
51 * Index of the second row to swap
52 *
53 * =====================================================================
54 *
55 * ..
56 * .. Local Scalars ..
57 LOGICAL UPPER
58 INTEGER I
59 COMPLEX*16 TMP
60 *
61 * .. External Functions ..
62 LOGICAL LSAME
63 EXTERNAL LSAME
64 * ..
65 * .. External Subroutines ..
66 EXTERNAL ZSWAP
67 * ..
68 * .. Executable Statements ..
69 *
70 UPPER = LSAME( UPLO, 'U' )
71 IF (UPPER) THEN
72 *
73 * UPPER
74 * first swap
75 * - swap column I1 and I2 from I1 to I1-1
76 CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 )
77 *
78 * second swap :
79 * - swap A(I1,I1) and A(I2,I2)
80 * - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1
81 * - swap A(I2,I1) and A(I1,I2)
82
83 TMP=A(I1,I1)
84 A(I1,I1)=A(I2,I2)
85 A(I2,I2)=TMP
86 *
87 DO I=1,I2-I1-1
88 TMP=A(I1,I1+I)
89 A(I1,I1+I)=DCONJG(A(I1+I,I2))
90 A(I1+I,I2)=DCONJG(TMP)
91 END DO
92 *
93 A(I1,I2)=DCONJG(A(I1,I2))
94
95 *
96 * third swap
97 * - swap row I1 and I2 from I2+1 to N
98 DO I=I2+1,N
99 TMP=A(I1,I)
100 A(I1,I)=A(I2,I)
101 A(I2,I)=TMP
102 END DO
103 *
104 ELSE
105 *
106 * LOWER
107 * first swap
108 * - swap row I1 and I2 from 1 to I1-1
109 CALL ZSWAP ( I1-1, A(I1,1), LDA, A(I2,1), LDA )
110 *
111 * second swap :
112 * - swap A(I1,I1) and A(I2,I2)
113 * - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1
114 * - swap A(I2,I1) and A(I1,I2)
115
116 TMP=A(I1,I1)
117 A(I1,I1)=A(I2,I2)
118 A(I2,I2)=TMP
119 *
120 DO I=1,I2-I1-1
121 TMP=A(I1+I,I1)
122 A(I1+I,I1)=DCONJG(A(I2,I1+I))
123 A(I2,I1+I)=DCONJG(TMP)
124 END DO
125 *
126 A(I2,I1)=DCONJG(A(I2,I1))
127 *
128 * third swap
129 * - swap col I1 and I2 from I2+1 to N
130 DO I=I2+1,N
131 TMP=A(I,I1)
132 A(I,I1)=A(I,I2)
133 A(I,I2)=TMP
134 END DO
135 *
136 ENDIF
137
138 END SUBROUTINE ZHESWAPR
139